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Finding the Fourth Proportional to 229,015.20, 315,815.84 and 210,912.88

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Solution

The fourth proportional to 229,015.20, 315,815.84 and 210,912.88 is: 290,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,015.20 : 315,815.84 = 210,912.88 : x
  2. Step 2: Convert to fraction form
    229,015.20/315,815.84 = 210,912.88/x
  3. Step 3: Cross multiply
    229,015.20x = 315,815.84 × 210,912.88
  4. Step 4: Simplify right side
    229,015.20x = 66,609,628,364.02
  5. Step 5: Solve for x
    x = 66,609,628,364.02/229,015.20
  6. Step 6: Final answer
    x = 290,852.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.